Wave-Particle Duality in the Negative Information Sea

Abstract

Quantum theory reveals astonishing and counterintuitive phenomena not found in classical physics, such as wave-particle duality, where entities like electrons and photons exhibit both wave-like and particle-like behaviors. In this paper, we leverage advancements in quantum information science to gain new insights into this phenomenon. We specifically examine negative conditional entropy in quantum entanglement, where the selection of the measurement basis appears to ripple backward in time, akin to Dirac's model of an infinite sea of negative energy states filled with electrons, where holes in this sea appear as positrons. We propose that an observer's knowledge of the measurement choice, analogous to a hole in the negative information sea, corresponds to the wave aspect of the system, while the classical outcome aligns with its particle nature. This exploration of the relationship between microscopic quantum phenomena and macroscopic observations offers new perspectives on the mind-matter duality.